Finding the Third Proportional to 8,206 and 17,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,206 : 17,436.50 = 17,436.50 : x
2. Step 2: Convert to fraction form
   8,206/17,436.50 = 17,436.50/x
3. Step 3: Cross multiply
   8,206x = 17,436.50 × 17,436.50
4. Step 4: Simplify right side
   8,206x = 304,031,532.25
5. Step 5: Solve for x
   x = 304,031,532.25/8,206
6. Step 6: Final answer
   x = 37,049.91